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Finding the Fourth Proportional to 142,566, 196,692.96 and 82,135.05

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Solution

The fourth proportional to 142,566, 196,692.96 and 82,135.05 is: 113,318.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,566 : 196,692.96 = 82,135.05 : x
  2. Step 2: Convert to fraction form
    142,566/196,692.96 = 82,135.05/x
  3. Step 3: Cross multiply
    142,566x = 196,692.96 × 82,135.05
  4. Step 4: Simplify right side
    142,566x = 16,155,386,104.25
  5. Step 5: Solve for x
    x = 16,155,386,104.25/142,566
  6. Step 6: Final answer
    x = 113,318.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.